Extensions 1→N→G→Q→1 with N=Q₈×C₃₀ and Q=C₂

Direct product G=N×Q with N=Q₈×C₃₀ and Q=C₂

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=Q₈×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃₀)⋊₁C₂ = C₂×Q₈⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):1C2	480,906
(Q₈×C₃₀)⋊₂C₂ = Q₈.₁₁D₃₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):2C2	480,907
(Q₈×C₃₀)⋊₃C₂ = D₃₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):3C2	480,911
(Q₈×C₃₀)⋊₄C₂ = C₆₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):4C2	480,912
(Q₈×C₃₀)⋊₅C₂ = C₂×Q₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):5C2	480,1172
(Q₈×C₃₀)⋊₆C₂ = C₂×Q₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):6C2	480,1173
(Q₈×C₃₀)⋊₇C₂ = Q₈.₁₅D₃₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):7C2	480,1174
(Q₈×C₃₀)⋊₈C₂ = C₆×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):8C2	480,734
(Q₈×C₃₀)⋊₉C₂ = C₃×C₂₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):9C2	480,735
(Q₈×C₃₀)⋊₁₀C₂ = C₃×D₁₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):10C2	480,739
(Q₈×C₃₀)⋊₁₁C₂ = C₃×C₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):11C2	480,740
(Q₈×C₃₀)⋊₁₂C₂ = C₆×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):12C2	480,1142
(Q₈×C₃₀)⋊₁₃C₂ = C₆×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):13C2	480,1143
(Q₈×C₃₀)⋊₁₄C₂ = C₃×Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):14C2	480,1144
(Q₈×C₃₀)⋊₁₅C₂ = C₁₀×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):15C2	480,820
(Q₈×C₃₀)⋊₁₆C₂ = C₅×Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):16C2	480,821
(Q₈×C₃₀)⋊₁₇C₂ = C₅×D₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):17C2	480,825
(Q₈×C₃₀)⋊₁₈C₂ = C₅×C₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):18C2	480,826
(Q₈×C₃₀)⋊₁₉C₂ = S₃×Q₈×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):19C2	480,1157
(Q₈×C₃₀)⋊₂₀C₂ = C₁₀×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):20C2	480,1158
(Q₈×C₃₀)⋊₂₁C₂ = C₅×Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):21C2	480,1159
(Q₈×C₃₀)⋊₂₂C₂ = C₁₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):22C2	480,927
(Q₈×C₃₀)⋊₂₃C₂ = C₁₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):23C2	480,929
(Q₈×C₃₀)⋊₂₄C₂ = SD₁₆×C₃₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240		(Q8xC30):24C2	480,938
(Q₈×C₃₀)⋊₂₅C₂ = C₁₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):25C2	480,942
(Q₈×C₃₀)⋊₂₆C₂ = C₁₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30):26C2	480,1185
(Q₈×C₃₀)⋊₂₇C₂ = C₄○D₄×C₃₀	φ: trivial image	240		(Q8xC30):27C2	480,1183

Non-split extensions G=N.Q with N=Q₈×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃₀).₁C₂ = Q₈⋊₂Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).1C2	480,195
(Q₈×C₃₀).₂C₂ = C₆₀.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30).2C2	480,196
(Q₈×C₃₀).₃C₂ = C₂×C₁₅⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).3C2	480,908
(Q₈×C₃₀).₄C₂ = Dic₁₅⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).4C2	480,909
(Q₈×C₃₀).₅C₂ = Q₈×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).5C2	480,910
(Q₈×C₃₀).₆C₂ = C₃×Q₈⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).6C2	480,113
(Q₈×C₃₀).₇C₂ = C₃×C₂₀.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30).7C2	480,114
(Q₈×C₃₀).₈C₂ = C₆×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).8C2	480,736
(Q₈×C₃₀).₉C₂ = C₃×Dic₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).9C2	480,737
(Q₈×C₃₀).₁₀C₂ = C₃×Q₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).10C2	480,738
(Q₈×C₃₀).₁₁C₂ = C₅×Q₈⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).11C2	480,154
(Q₈×C₃₀).₁₂C₂ = C₅×C₁₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30).12C2	480,155
(Q₈×C₃₀).₁₃C₂ = C₁₀×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).13C2	480,822
(Q₈×C₃₀).₁₄C₂ = C₅×Dic₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).14C2	480,823
(Q₈×C₃₀).₁₅C₂ = C₅×Q₈×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).15C2	480,824
(Q₈×C₃₀).₁₆C₂ = C₁₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	240	4	(Q8xC30).16C2	480,204
(Q₈×C₃₀).₁₇C₂ = C₁₅×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).17C2	480,206
(Q₈×C₃₀).₁₈C₂ = C₁₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).18C2	480,933
(Q₈×C₃₀).₁₉C₂ = Q₁₆×C₃₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃₀	480		(Q8xC30).19C2	480,939
(Q₈×C₃₀).₂₀C₂ = Q₈×C₆₀	φ: trivial image	480		(Q8xC30).20C2	480,924

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Extensions 1→N→G→Q→1 with N=Q8×C30 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈×C₃₀ and Q=C₂